Is it possible to repeat modified Shape Key actions?
Blender includes the ability to convert sampled f-curves to keyframes, but doesn't include a way to use it without a python script. Luckily someone already has made an addon to make it easily accessible. Save a copy of this addon then install and enable it.

Now you can bake the f-curve with &#9095; AltC, delete the sine wave modifier and convert to keyframes with Channel->Convert to->Keyframes from Samples.

Now that you have a f-curve made of keyframes, you can delete any parts you don't need and duplicate the remaining as many times as you want.

With a graph editor and VSE open with a waveform displayed you can change the current frame by clicking in the VSE so that it is at the start of a "wubble" and this will also be visible in the graph editor, then use &#8679; ShiftDX and move into position visually.